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Finding the Fourth Proportional to 20,160.48, 27,815.04 and 12,200.16

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Solution

The fourth proportional to 20,160.48, 27,815.04 and 12,200.16 is: 16,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,160.48 : 27,815.04 = 12,200.16 : x
  2. Step 2: Convert to fraction form
    20,160.48/27,815.04 = 12,200.16/x
  3. Step 3: Cross multiply
    20,160.48x = 27,815.04 × 12,200.16
  4. Step 4: Simplify right side
    20,160.48x = 339,347,938.41
  5. Step 5: Solve for x
    x = 339,347,938.41/20,160.48
  6. Step 6: Final answer
    x = 16,832.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.